Question

The volume of a cone of height 9cm is 1848cm^3. find its radius. Take π=22/7

Answer 1

The formula to calculate the volume(V) of a cone is,

`V=(1)/(3)\pi r^2h`

Given:

`\begin{gathered} V=1848cm^3 \\ \pi=(22)/(7) \\ h=9cm \\ r=\text{?} \end{gathered}`

Isolate for the radius 'r' in the equation of the volume

`\begin{gathered} V*3=\pi r^2h \\ (3V)/(\pi h)=(\pi r^2h)/(\pi h) \\ (3V)/(\pi h)=r^2 \\ \therefore r=\sqrt[]{(3V)/(\pi h)} \end{gathered}`

Substitute the values for V, h, and pi and solve for r

`\begin{gathered} r=\sqrt[]{(3*1848)/((22)/(7)*9)}=√(196)=14 \\ \therefore r=14cm \end{gathered}`

Hence, the answer is 14cm.